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Finding the Third Proportional to 9,814.92 and 21,205.55

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Solution

The third proportional to 9,814.92 and 21,205.55 is: 45,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.92 : 21,205.55 = 21,205.55 : x
  2. Step 2: Convert to fraction form
    9,814.92/21,205.55 = 21,205.55/x
  3. Step 3: Cross multiply
    9,814.92x = 21,205.55 × 21,205.55
  4. Step 4: Simplify right side
    9,814.92x = 449,675,218.27
  5. Step 5: Solve for x
    x = 449,675,218.27/9,814.92
  6. Step 6: Final answer
    x = 45,815.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.